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Distance in kilometres. The taken in minutes. 1) Findaishe runs 2km in how many minutes. 2) If it take Tinoda ishe to run to km, 3) Tinodaishe run 6km in how many minutes. 4) How far does Tinodaishe run in 5 minutes?

Mathematics

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Homework Analysis:
The table provides data points for Tinodaishe's running:

Distance (km)Time (min)
12
23
34
105
126

We observe that the speed is not constant across all data points. However, the last two data points show a consistent speed:
For 10 km in 5 min: Speed = 10 km5 min=2 km/min\frac{10 \text{ km}}{5 \text{ min}} = 2 \text{ km/min}
For 12 km in 6 min: Speed = 12 km6 min=2 km/min\frac{12 \text{ km}}{6 \text{ min}} = 2 \text{ km/min}
For questions that require calculations beyond direct table lookup, we will assume Tinodaishe's consistent running speed is 2 km/min2 \text{ km/min}.

1. Find how many minutes Tinodaishe runs 2 km in.

  1. Look up the distance of 2 km in the provided table.

    From the table, for a distance of 2 km, the time taken is 3 minutes.
    The time taken is 3 minutes\boxed{3 \text{ minutes}}.

    2. How long does it take Tinodaishe to run 7 km?

  2. Since 7 km is not directly in the table, we use the consistent speed derived from the last two entries

    S=2 km/minS = 2 \text{ km/min}.

  3. Use the formula Time = Distance / Speed.

    T=DS=7 km2 km/minT = \frac{D}{S} = \frac{7 \text{ km}}{2 \text{ km/min}}
  4. Calculate the time.

    T=3.5 minutesT = 3.5 \text{ minutes}

    It takes Tinodaishe 3.5 minutes\boxed{3.5 \text{ minutes}} to run 7 km.

    3. Tinodaishe runs 6 km in how many minutes?

  5. Since 6 km is not directly in the table, we use the consistent speed derived from the last two entries

    S=2 km/minS = 2 \text{ km/min}.

  6. Use the formula Time = Distance / Speed.

    T=DS=6 km2 km/minT = \frac{D}{S} = \frac{6 \text{ km}}{2 \text{ km/min}}
  7. Calculate the time.

    T=3 minutesT = 3 \text{ minutes}

    Tinodaishe runs 6 km in 3 minutes\boxed{3 \text{ minutes}}.

    4. How far does Tinodaishe run in 5 minutes?

  8. Look up the time of 5 minutes in the provided table.

    From the table, for a time of 5 minutes, the distance run is 10 km.
    Alternatively, using the consistent speed S=2 km/minS = 2 \text{ km/min}:

  9. Use the formula Distance = Speed ×\times Time.

    D=S×T=2 km/min×5 minutesD = S \times T = 2 \text{ km/min} \times 5 \text{ minutes}
  10. Calculate the distance.

    D=10 kmD = 10 \text{ km}

    Tinodaishe runs 10 km\boxed{10 \text{ km}} in 5 minutes.

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